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Finding the Fourth Proportional to 509.48, 702.80 and 322.64

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Solution

The fourth proportional to 509.48, 702.80 and 322.64 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 702.80 = 322.64 : x
  2. Step 2: Convert to fraction form
    509.48/702.80 = 322.64/x
  3. Step 3: Cross multiply
    509.48x = 702.80 × 322.64
  4. Step 4: Simplify right side
    509.48x = 226,747.88
  5. Step 5: Solve for x
    x = 226,747.88/509.48
  6. Step 6: Final answer
    x = 445.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.